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Finding the Third Proportional to 300.09 and 656.30

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Solution

The third proportional to 300.09 and 656.30 is: 1,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.09 : 656.30 = 656.30 : x
  2. Step 2: Convert to fraction form
    300.09/656.30 = 656.30/x
  3. Step 3: Cross multiply
    300.09x = 656.30 × 656.30
  4. Step 4: Simplify right side
    300.09x = 430,725.59
  5. Step 5: Solve for x
    x = 430,725.59/300.09
  6. Step 6: Final answer
    x = 1,435.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.